An Axiomatic System for Concessive Conditionals

Studia Logica 1:1-21 (2023)
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Abstract

According to the analysis of concessive conditionals suggested by Crupi and Iacona, a concessive conditional \(p{{\,\mathrm{\hookrightarrow }\,}}q\) is adequately formalized as a conjunction of conditionals. This paper presents a sound and complete axiomatic system for concessive conditionals so understood. The soundness and completeness proofs that will be provided rely on a method that has been employed by Raidl, Iacona, and Crupi to prove the soundness and completeness of an analogous system for evidential conditionals.

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Author Profiles

Andrea Iacona
Università di Torino
Raidl Eric
University Tübingen
Vincenzo Crupi
Università degli Studi di Torino

Citations of this work

The Implicative Conditional.Eric Raidl & Gilberto Gomes - 2023 - Journal of Philosophical Logic 53 (1):1-47.

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References found in this work

Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.
The Evidential Conditional.Vincenzo Crupi & Andrea Iacona - 2022 - Erkenntnis 87 (6):2897-2921.
The Logic of the Evidential Conditional.Eric Raidl, Andrea Iacona & Vincenzo Crupi - 2022 - Review of Symbolic Logic 15 (3):758-770.
Basic conditional logic.Brian F. Chellas - 1975 - Journal of Philosophical Logic 4 (2):133 - 153.

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